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Q.

A smooth sphere is moving on a horizontal surface with velocity vector 3i^+3j^ immediately before it hits a vertical wall. The wall is parallel to j^ vector and the coefficient of restitution between the sphere and the wall is e = 13 The velocity vector of the sphere after it hits the wall is

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a

i^-j^

b

i^-2j^

c

-i ^ +3j^

d

-i^-j^

answer is C.

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Detailed Solution

velocity perpendicular to the wall becomes -ve  so x component will change but the y component will remain unchangedso velocity after collision -i^ + 3j^
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A smooth sphere is moving on a horizontal surface with velocity vector 3i^+3j^ immediately before it hits a vertical wall. The wall is parallel to j^ vector and the coefficient of restitution between the sphere and the wall is e = 13 The velocity vector of the sphere after it hits the wall is